Large deviations for heat kernel measures on loop spaces via rough paths

Yuzuru Inahama, Hiroshi Kawabi

Research output: Contribution to journalReview article

11 Citations (Scopus)

Abstract

The main objective of this paper is to establish a large deviation principle for heat kernel measures on loop spaces. It gives an extension of Fang and Zhang's results on loop groups. For the proof, we use the continuity theorem of Lyons' rough path theory.

Original languageEnglish
Pages (from-to)797-816
Number of pages20
JournalJournal of the London Mathematical Society
Volume73
Issue number3
DOIs
Publication statusPublished - 2006 Jan 1
Externally publishedYes

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Rough Paths
Loop Groups
Loop Space
Large Deviation Principle
Heat Kernel
Large Deviations
Theorem

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Large deviations for heat kernel measures on loop spaces via rough paths. / Inahama, Yuzuru; Kawabi, Hiroshi.

In: Journal of the London Mathematical Society, Vol. 73, No. 3, 01.01.2006, p. 797-816.

Research output: Contribution to journalReview article

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